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Finding the Fourth Proportional to 3,005.51, 4,147.81 and 1,957.57

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Solution

The fourth proportional to 3,005.51, 4,147.81 and 1,957.57 is: 2,701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.51 : 4,147.81 = 1,957.57 : x
  2. Step 2: Convert to fraction form
    3,005.51/4,147.81 = 1,957.57/x
  3. Step 3: Cross multiply
    3,005.51x = 4,147.81 × 1,957.57
  4. Step 4: Simplify right side
    3,005.51x = 8,119,613.16
  5. Step 5: Solve for x
    x = 8,119,613.16/3,005.51
  6. Step 6: Final answer
    x = 2,701.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.